If P(E) = 0.34, find p(not E).

Answer

To find the probability of not event E (denoted as P(not E)), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between P(E) and P(not E)**:
The sum of the probability of an event and the probability of its complement (not the event) is always equal to 1. This can be expressed mathematically as:
\[ P(E) + P(\text{not } E) = 1 \]

2. **Substitute the given value**:
We know from the problem that:
\[ P(E) = 0.34 \]
We need to find \( P(\text{not } E) \).

3. **Rearrange the equation**:
To find \( P(\text{not } E) \), we can rearrange the equation:
\[ P(\text{not } E) = 1 - P(E) \]

4. **Plug in the value of P(E)**:
Substitute the value of \( P(E) \) into the equation:
\[ P(\text{not } E) = 1 - 0.34 \]

5. **Perform the subtraction**:
Now, calculate the result:
\[ P(\text{not } E) = 1.00 - 0.34 = 0.66 \]

6. **Conclusion**:
Therefore, the probability of not event E is:
\[ P(\text{not } E) = 0.66 \]